λ
Prime Ledger

2,576,349

32 × 293 × 977
Deficient Odd Composite

2,576,349 has the prime decomposition 3^2 × 293 × 977. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 293 × 977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,737,916
Proper Divisor Sum 1,161,567
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2576341 ← → #2576363

Radix Representation

Decimal 2576349
Binary 1001110100111111011101 (22 bits)
Octal 0o11647735
Hexadecimal 0x274FDD

Divisor Catalog (12)

1 3 9 293 879 977 2,637 2,931 8,793 286,261 858,783 2,576,349

Collatz Trajectory (125 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,576,349 7,729,048 3,864,524 1,932,262 966,131 2,898,394 1,449,197 4,347,592 2,173,796 1,086,898 543,449 1,630,348 815,174 407,587 1,222,762 611,381 1,834,144 917,072 458,536 229,268 114,634 57,317 171,952 85,976 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

More profiles

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